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2 years ago

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The diagram below shows a square cardboard with an area of 132.25 cm ².A square of side x cm is cut and removed from each of its

vertices. If the area of the remaining cardboard is 112 cm², find the value of x.Please help!

1 answer:

PilotLPTM [1.2K]2 years ago

4 0

Answer:

i think it's 10.6

Step-by-step explanation:

112 = x^2

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1 5/7÷4/9 = what's the answer and how to write the problem out

balu736 [363]

The solution to given expression $1\frac{5}{7} \div \frac{4}{9}$ is $\frac{27}{7}$ or 3.8571

<em><u>Solution:</u></em>

Given expression is:

$1\frac{5}{7} \div \frac{4}{9}$

<em><u>First let us convert the mixed fraction to improper fraction</u></em>

Multiply the whole number by the denominator.

Add the answer from Step 1 to the numerator.

Write answer from Step 2 over the denominator.

Thus we get,

$1\frac{5}{7} = \frac{1 \times 7 + 5}{7} = \frac{12}{7}$

Now the given expression becomes,

$1\frac{5}{7} \div \frac{4}{9} = \frac{12}{7} \div \frac{4}{9}$

Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign

$\frac{12}{7} \div \frac{4}{9} = \frac{12}{7} \times \frac{9}{4}$

Multiply the numerators, multiply the denominators, and leave the product in factored form

$\frac{12}{7} \times \frac{9}{4} = \frac{27}{7}$

In decimal form we get,

$\frac{27}{7} = 3.8571$

Thus the solution to given expression is $\frac{27}{7}$ or 3.8571

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2 years ago

A 150 km trip was covered by a motorcycle going at an average speed of 75 km/h, by a bus doing 60 km/h, by a truck doing 50 km/h

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Answer:

3

Step-by-step explanation:

i only know that answer is 3

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2 years ago

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Find the product (8b-8)(-2b2 - 7b + 5)

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Answer:

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3 years ago

If Vector u=(5,-7) and v=(-11,3), 2v-6u=_____ and ||2v-6u||≈_____

Sauron [17]

<h2>Answer:</h2>

$2\vec{v}-6\vec{u}=(-52,48) \\ \\ ||2\vec{v}-6\vec{u}||=75.28}$

<h2>Step-by-step explanation:</h2>

In this problem we have two vectors:

$\vec{u}=(5,-7) \ and \ \vec{v}=(-11,3)$

So we need to find two things:

$2\vec{v}-6\vec{u}$

and:

$||2\vec{v}-6\vec{u}||$

FIRST:

In this case we have the multiplication of vectors by scalars. A scalar is a simple number, so:

$2\vec{v}-6\vec{u} \\ \\ Replace \ \vec{v} \ and \ \vec{u} \ by \ the \ given \ vectors: \\ \\ 2(-11,3)-6(5,-7) \\ \\ Multiply \ each \ component \ by \ the \ corresponding \ scalar:\\ \\ (2\times (-11),2\times 3)+(-6\times 5,-6\times (-7)) \\ \\ (-22,6)+(-30,42) \\ \\ Sum \ of \ vectors: \\ \\ (-22-30,6+42) \\ \\ \therefore \boxed{(-52,48)}$

SECOND:

If we name:

$\vec{w}=2\vec{v}-6\vec{u}$

Then, $||2\vec{v}-6\vec{u}||$ is the magnitude of the vector $\vec{w}$ . Therefore:

$||\vec{w}||=||2\vec{v}-6\vec{u}|| \\ \\ ||\vec{w}||=||(-52,48)|| \\ \\ ||\vec{w}||=\sqrt{(-58)^2+48^2} \\ \\ ||\vec{w}||=\sqrt{3364+2304} \\ \\ ||\vec{w}||=\sqrt{5668} \\ \\ \boxed{||\vec{w}||=75.28}$

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2 years ago

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You recently saw a news article that included this graph and had the title “A Nation of Procrastinators”. What evidence from the

user100 [1]

Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January

Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year

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